Cover image for Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance
Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance
Title:
Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance
ISBN:
9789811022272
Personal Author:
Edition:
1st ed. 2017.
Publication Information New:
Singapore : Springer Nature Singapore : Imprint: Springer, 2017.
Physical Description:
XIX, 116 p. 37 illus. in color. online resource.
Series:
Springer Theses, Recognizing Outstanding Ph.D. Research,
Contents:
Introduction -- ℓ1-induced Controller Design for Positive Systems -- L1-induced Output-Feedback Controller Synthesis for Interval Positive Systems -- Positive State-Bounding Observer for Interval Positive Systems -- Positive Filtering for Positive Systems under L1 Performance -- Controller and Filter Syntheses for Positive Takagi-Sugeno Fuzzy Systems under ℓ1 Performance -- Conclusions and Future Work.
Abstract:
This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a "hot topic" in the field of control. .
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Language:
English